Question

A rectangle has length 64mm and 37mm each correct to the nearest millimetre.

(a) Write down the lower bound for the length.
(b) Calculate the lower bound for the perimeter of the rectangle.

Answer 1

Answer and explanation below. Credits to Chris, Mechanical engineering college, Master's degree

Answer 2

Explanation:

(a) To find the lower bound for the length of the rectangle, we need to subtract half of the smallest unit of measurement from the given measurement.

The smallest unit of measurement given is 1 mm, so half of that is 0.5 mm.

Therefore, the lower bound for the length of the rectangle is:

64 mm - 0.5 mm = 63.5 mm

(b) The perimeter of a rectangle is calculated by adding up the length of all four sides.

The lower bounds for the length and width of the rectangle are 63.5 mm and 36.5 mm, respectively.

So, the lower bound for the perimeter is:

2(63.5 mm + 36.5 mm) = 2(100 mm) = 200 mm